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The interior angles of a regular polygon...

The interior angles of a regular polygon measure `150^@` each. The number of diagonals of the polygon is

A

`35`

B

`44`

C

`54`

D

`78`

Text Solution

Verified by Experts

The correct Answer is:
C
`(c )` We have `pi-(2pi)/(n)=(5pi)/(6)`
`implies (pi)/(6)=(2pi)/(n)`
`impliesn=12`
`:.` Number of diagonals `="^(10)C_(2)-12=54`
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